Philosophy Dictionary of ArgumentsHome | |||
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Constructivism, philosophy: the thesis that the objects of the external world, together with their properties and relations are constructed by the brain to other objects and their relations to us. Constructivist styles are differently strong in their assumptions about the existence and recognizability of an objective, independent reality. See also Autopoiesis, system theory, Luhmann, Maturana._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
Author | Concept | Summary/Quotes | Sources |
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B. Russell on Constructivism - Dictionary of Arguments
I XX Constructivist attitude/Constructivism/Russell/Gödel: was abandoned in the first edition, since the reducibility axiom for higher types makes it necessary that basic predicates of an infinitely high type exist - of constructivism only remains: 1) Classes as facon de parler 2) The definition of ~, v, etc. as valid for propositions that contain quantifiers 3) Gradual construction of functions of orders higher than 1 (superfluous of course, because of the reducibility-axiom) 4) Interpretation of definitions as mere typographical shortcuts. GoedelVs: because of reducibility axiom: there always exist real objects in the form of basic predicates corresponding to each defined symbol. >Reducibility axiom, >Classes, >Logical connectives, >Quantifiers, >Proposition. > I XX Constructivist attitude/Constructivism/Principia Mathematica(1)/Gödel: is taken in again in the second edition and the reducibility axiom is dropped. - It is determined that all basic predicates belong to the lowest type. 1. Whitehead, A.N. and Russel, B. (1910). Principia Mathematica. Cambridge: Cambridge University Press.(First edition)._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Russell I B. Russell/A.N. Whitehead Principia Mathematica Frankfurt 1986 Russell II B. Russell The ABC of Relativity, London 1958, 1969 German Edition: Das ABC der Relativitätstheorie Frankfurt 1989 Russell IV B. Russell The Problems of Philosophy, Oxford 1912 German Edition: Probleme der Philosophie Frankfurt 1967 Russell VI B. Russell "The Philosophy of Logical Atomism", in: B. Russell, Logic and KNowledge, ed. R. Ch. Marsh, London 1956, pp. 200-202 German Edition: Die Philosophie des logischen Atomismus In Eigennamen, U. Wolf (Hg), Frankfurt 1993 Russell VII B. Russell On the Nature of Truth and Falsehood, in: B. Russell, The Problems of Philosophy, Oxford 1912 - Dt. "Wahrheit und Falschheit" In Wahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996 |